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摘要翻译：
我们比较了保真度和纠缠度在表征重整化群流和量子相变中的作用。结果表明，从不同基态的保真度中提取的标度参数能够捕获包括稳定不动点和不稳定不动点在内的非平凡信息，而作为二分纠缠度量的von Neumann熵（或等价于重正化群流的约化密度矩阵谱满足的优化关系）往往不能获得重正化群流的固有不可逆性--信息损失。我们还阐明了冯纽曼熵、优化关系和保真度之间的密切联系。指出了它与Zamolodchikov c定理的相关性。
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英文标题：
《Renormalization group flows and quantum phase transitions: fidelity
versus entanglement》
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作者：
Huan-Qiang Zhou
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Strongly Correlated Electrons 强关联电子
分类描述：Quantum magnetism, non-Fermi liquids, spin liquids, quantum criticality, charge density waves, metal-insulator transitions
量子磁学，非费米液体，自旋液体，量子临界性，电荷密度波，金属-绝缘体跃迁
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英文摘要：
We compare the roles of fidelity and entanglement in characterizing renormalization group flows and quantum phase transitions. It turns out that the scaling parameter extracted from fidelity for different ground states succeeds to capture nontrivial information including stable and unstable fixed points, whereas the von Neumann entropy as a bipartite entanglement measure (or equivalently, majorization relations satisfied by the spectra of the reduced density matrix along renormalization group flows) often fails, as far as the intrinsic irreversibility-information loss along renormalization group flows-is concerned. We also clarify an intimate connection between the von Neumman entropy, majorization relations, and fidelity. The relevance to Zamolodchikov's c theorem is indicated.
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PDF链接：
https://arxiv.org/pdf/704.2945
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